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On a conjecture of Furstenberg

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Publication:696285
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DOI10.1007/BF02764075zbMath1022.37016WikidataQ123231731 ScholiaQ123231731MaRDI QIDQ696285

J. J. P. Veerman, Grzegorz Świątek

Publication date: 3 November 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

energy integralHausdorff dimensioniterated function systemprobabilistic measure


Mathematics Subject Classification ID

Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)


Related Items (3)

Algorithms to test open set condition for self-similar set related to P.V. numbers ⋮ On the structure of \(\lambda\)-Cantor set with overlaps ⋮ On self-similar sets with overlaps and inverse theorems for entropy



Cites Work

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  • Projecting the one-dimensional Sierpiński gasket
  • Tiling the line with translates of one tile
  • On the Dimensions of Certain Incommensurably Constructed Sets
  • Semicontinuity of dimension and measure for locally scaling fractals


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